Question

Observe the figure and answer the following.
1.Name the sides of angle LMN
2.l(LM) + l(LN) __________ use the proper sign (>,< and =)
3.l(MN) < l(MN) + ________
4. if m < LNM = 50 degree then m < LMN = _________
5.l(MN) + l(LM)> _______
6.m <M = m< N = 50 degree , m< L _______
7.if m < L = 80 degree,m < M = 40 degree then m< N _______
8.if m <LNM = 110 degree,m <M
= 60 degree,m <L = ______
9.if m<M = 65 degree,m <N = 70 degree,m <L = ________


please answer all questions it's urgent​

Answer 1

Answer:

Well, in your figure, the naming of the vertices of the triangle are not quite visible.

P.F.A the figure below for the following answers:

Answers according to the figure:

1. LM & MN                               (The sides that make ∠LMN)
2. > MN                (Sum of two sides is always greater than the third side)
3. Probably your question would be: l(MN) < l(LM) +____  Ans: l(LN)  
4. 50 °                          (Angles opp. to equal sides are equal)
5. l(LN)                (Sum of two sides is always greater than the third side)
6. Acc. to angle sum prop. 100+ ∠L = 180° ⇒ ∠L = 80°
7. Acc. to angle sum prop. 120 + ∠N = 180° ⇒∠N= 60°
8. Acc. to angle sum prop. 170° + ∠L= 180° ⇒∠L = 10°
9. Acc. to angle sum prop. 135° + ∠L = 180° ⇒ ∠L = 45°

Hope you got each one of the answers with the short explanation.

Thank You.